Finite Group Databasebeta

← C2×#20258077 #27123714

Subgroups — C2×#20258077 #27123714

Order 12032.

6662 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20258077C2132yesmaximal, direct product factor
2C2×C47⋊#564C211yesmaximal, characteristic, complemented
3C2×#15689870C211yesmaximal, characteristic, complemented
4C2×#15689869C211yesmaximal, characteristic, complemented
5C2×#15689869C211yesmaximal, characteristic, complemented
6C2×#15689824C211yesmaximal, characteristic, complemented
7C2×#15689824C211yesmaximal, characteristic, complemented
8C2×#15689822C211yesmaximal, characteristic, complemented
9C2×#15689821C211yesmaximal, characteristic, complemented
10C2×#15689818C211yesmaximal, characteristic, complemented
11C2×#15689817C211yesmaximal, characteristic, complemented
12C2×#15689814C211yesmaximal, characteristic, complemented
13C2×#15689812C211yesmaximal, characteristic, complemented
14C2×#15689811C211yesmaximal, characteristic, complemented
15C2×#15689806C211yesmaximal, characteristic, complemented
16C2×#15689805C211yesmaximal, characteristic, complemented
17C2×#15689729C211yesmaximal, characteristic, complemented
18C2×#15689728C211yesmaximal, characteristic, complemented
19C2×#15689728C211yesmaximal, characteristic, complemented
20C2×#15689725C211yesmaximal, characteristic, complemented
21C2×#15689725C211yesmaximal, characteristic, complemented
22C2×#15689724C211yesmaximal, characteristic, complemented
23C2×#15689722C211yesmaximal, characteristic, complemented
24C2×#15689721C211yesmaximal, characteristic, complemented
25C2×#15689721C211yesmaximal, characteristic, complemented
26C2×#15689720C211yesmaximal, characteristic, complemented
27C2×#15689719C211yesmaximal, characteristic, complemented
28C2×#15689714C211yesmaximal, characteristic, complemented
29C2×#15689660C211yesmaximal, characteristic, complemented
30C2×#15689656C211yesmaximal, characteristic, complemented
31C2×#15689651C211yesmaximal, characteristic, complemented
32C2×C47×#552C211yesmaximal, characteristic, complemented
33C47⋊#564C22116yescomplemented
34#15689870C22116yescomplemented
35#15689869C22116yescomplemented
36#15689869C22116yescomplemented
37#15689824C22116yescomplemented
38#15689824C22116yescomplemented
39#15689822C22116yescomplemented
40#15689821C22116yescomplemented
41#15689818C22116yescomplemented
42#15689817C22116yescomplemented
43#15689814C22116yescomplemented
44#15689812C22116yescomplemented
45#15689811C22116yescomplemented
46#15689806C22116yescomplemented
47#15689805C22116yescomplemented
48#15689729C22116yescomplemented
49#15689728C22116yescomplemented
50#15689728C22116yescomplemented
51#15689725C22116yescomplemented
52#15689725C22116yescomplemented
53#15689724C22116yescomplemented
54#15689722C22116yescomplemented
55#15689721C22116yescomplemented
56#15689721C22116yescomplemented
57#15689720C22116yescomplemented
58#15689719C22116yescomplemented
59#15689714C22116yescomplemented
60C2×#13094021C2211yescharacteristic
61C2×#13094020C2211yescharacteristic
62#15689660C22116yescomplemented
63#15689656C22116yescomplemented
64#15689651C22116yescomplemented
65C2×#13094019C2211yescharacteristic
66C2×#13094019C2211yescharacteristic
67C2×#13094019C2211yescharacteristic
68C2×#13094019C2211yescharacteristic
69C2×#13094019C2211yescharacteristic
70C2×#13094019C2211yescharacteristic
71C2×#13094019C2211yescharacteristic
72C2×#13094018C2211yescharacteristic
73C2×#13094018C2211yescharacteristic
74C2×#13094018C2211yescharacteristic
75C2×#13094017C2211yescharacteristic
76C2×#13094017C2211yescharacteristic
77C2×#13094016C2211yescharacteristic
78C2×#13094016C2211yescharacteristic
79C2×#13094016C2211yescharacteristic
80C2×#13094015C2211yescharacteristic
81C2×#13094015C2211yescharacteristic
82C2×#13094015C2211yescharacteristic
83C2×#13094015C2211yescharacteristic
84C2×#13094015C2211yescharacteristic
85C2×#13094014C2211yescharacteristic
86C2×#13094014C2211yescharacteristic
87C2×#13094014C2211yescharacteristic
88C2×#13094014C2211yescharacteristic
89C2×#13094014C2211yescharacteristic
90C2×#13094014C2211yescharacteristic
91C2×#13094014C2211yescharacteristic
92C2×#13094014C2211yescharacteristic
93C2×#13094014C2211yescharacteristic
94C2×#13094014C2211yescharacteristic
95C2×#13094013C2211yescharacteristic
96C2×#13094010C2211yescharacteristic
97C2×#13094010C2211yescharacteristic
98C2×#13094009C2211yescharacteristic
99C2×#13094009C2211yescharacteristic
100C2×#13094009C2211yescharacteristic
101C2×#13094009C2211yescharacteristic
102C2×#13094009C2211yescharacteristic
103C2×#13094009C2211yescharacteristic
104C2×#13094009C2211yescharacteristic
105C2×#13094009C2211yescharacteristic
106C2×#13094009C2211yescharacteristic
107C2×#13094009C2211yescharacteristic
108C2×#13094009C2211yescharacteristic
109C2×#13094009C2211yescharacteristic
110C2×#13094009C2211yescharacteristic
111C2×#13094009C2211yescharacteristic
112C2×#13094009C2211yescharacteristic
113C2×#13094009C2211yescharacteristic
114C2×#13094008C2211yescharacteristic
115C2×#13094008C2211yescharacteristic
116C2×#13094008C2211yescharacteristic
117C2×#13094007C2211yescharacteristic
118C2×#13094007C2211yescharacteristic
119C2×#13094007C2211yescharacteristic
120C2×#13094006C2211yescharacteristic
121C2×#13094006C2211yescharacteristic
122C2×#13094006C2211yescharacteristic
123C2×#13094006C2211yescharacteristic
124C2×#13094006C2211yescharacteristic
125C2×#13094006C2211yescharacteristic
126C2×#13094004C2211yescharacteristic
127C2×#13094004C2211yescharacteristic
128C2×#13094004C2211yescharacteristic
129C2×#13094003C2211yescharacteristic
130C2×#13094002C2211yescharacteristic
131C2×#13094002C2211yescharacteristic
132C2×#13094002C2211yescharacteristic
133C2×#13094002C2211yescharacteristic
134C2×#13094002C2211yescharacteristic
135C2×#13094001C2211yescharacteristic
136C2×#13094000C2211yescharacteristic
137C2×#13094000C2211yescharacteristic
138C2×#13094000C2211yescharacteristic
139C2×#13093999C2211yescharacteristic
140C2×#13093999C2211yescharacteristic
141C2×#13093999C2211yescharacteristic
142C2×#13093999C2211yescharacteristic
143C2×#13093999C2211yescharacteristic
144C2×#13093999C2211yescharacteristic
145C2×#13093998C2211yescharacteristic
146C2×#13093998C2211yescharacteristic
147C2×#13093998C2211yescharacteristic
148C2×#13093998C2211yescharacteristic
149C2×#13093998C2211yescharacteristic
150C2×#13093998C2211yescharacteristic
151C2×#13093997C2211yescharacteristic
152C2×#13093997C2211yescharacteristic
153C2×#13093997C2211yescharacteristic
154C2×#13093997C2211yescharacteristic
155C2×#13093997C2211yescharacteristic
156C2×#13093997C2211yescharacteristic
157C2×#13093997C2211yescharacteristic
158C2×#13093997C2211yescharacteristic
159C2×#13093997C2211yescharacteristic
160C2×#13093997C2211yescharacteristic
161C2×#13093997C2211yescharacteristic
162C2×#13093997C2211yescharacteristic
163C2×#13093996C2211yescharacteristic
164C2×#13093996C2211yescharacteristic
165C2×#13093995C2211yescharacteristic
166C2×C4×Dic94C2211yescharacteristic
167C2×#13093989C2211yescharacteristic
168C2×C4×D188C2211yescharacteristic
169C2×C4×D188C2211yescharacteristic
170C2×C4×D188C2211yescharacteristic
171C2×C4×D188C2211yescharacteristic
172C2×C4×D188C2211yescharacteristic
173C2×C4×D188C2211yescharacteristic
174C2×#13093986C2211yescharacteristic
175C2×#13093986C2211yescharacteristic
176C2×#13093986C2211yescharacteristic
177C2×#13093986C2211yescharacteristic
178C2×C4×C22⋊D47C2211yescharacteristic
179C2×C4×C22⋊D47C2211yescharacteristic
180C2×C4×C22⋊D47C2211yescharacteristic
181C2×C4×C22⋊D47C2211yescharacteristic
182C2×C4×C22⋊D47C2211yescharacteristic
183C2×(C22⋊D47)⋊C4C2211yescharacteristic
184C2×(C22⋊D47)⋊C4C2211yescharacteristic
185C2×(C22⋊D47)⋊C4C2211yescharacteristic
186C2×(C22⋊D47)⋊C4C2211yescharacteristic
187C2×(C22⋊D47)⋊C4C2211yescharacteristic
188C2×#13093982C2211yescharacteristic
189C2×#13093982C2211yescharacteristic
190C2×#13093982C2211yescharacteristic
191C2×#13093981C2211yescharacteristic
192C2×#13093981C2211yescharacteristic
193C2×#13093981C2211yescharacteristic
194C2×#13093981C2211yescharacteristic
195C2×#13093981C2211yescharacteristic
196C2×#13093980C2211yescharacteristic
197C22×Dic47⋊C4C2211yescharacteristic
198C2×C4⋊C4×D47C2211yescharacteristic
199C2×C4⋊C4×D47C2211yescharacteristic
200C2×C4⋊C4×D47C2211yescharacteristic
201C2×C4⋊C4×D47C2211yescharacteristic
202C2×C42×D47C2211yescharacteristic
203C47×#552C22116yescomplemented
204C2×#126×C47C2211yescharacteristic
205C2×#126×C47C2211yescharacteristic
206C2×#125×C47C2211yescharacteristic
207C2×#125×C47C2211yescharacteristic
208C2×#125×C47C2211yescharacteristic
209C2×#123×C47C2211yescharacteristic
210C2×#123×C47C2211yescharacteristic
211C2×C22⋊Q8×C47C2211yescharacteristic
212C2×C22⋊Q8×C47C2211yescharacteristic
213C2×C4×Q8×C47C2211yescharacteristic
214C2×C4×D4×C47C2211yescharacteristic
215C2×#117×C47C2211yescharacteristic
216C2×#117×C47C2211yescharacteristic
217C2×#117×C47C2211yescharacteristic
218C22×C4⋊C4×C47C2211yescharacteristic
219C22×Dic94C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C22×D188C2311yescharacteristic
224C22×D188C2311yescharacteristic
225C22×D188C2311yescharacteristic
226C22×D188C2311yescharacteristic
227C22×D188C2311yescharacteristic
228C22×D188C2311yescharacteristic
229C22×D188C2311yescharacteristic
230C22×D188C2311yescharacteristic
231C22×C22⋊D47C2311yescharacteristic
232C22×C22⋊D47C2311yescharacteristic
233C22×C22⋊D47C2311yescharacteristic
234C22×C22⋊D47C2311yescharacteristic
235C22×C22⋊D47C2311yescharacteristic
236C22×C22⋊D47C2311yescharacteristic
237C22×C22⋊D47C2311yescharacteristic
238C22×C22⋊D47C2311yescharacteristic
239C22×C22⋊D47C2311yescharacteristic
240C22×C22⋊D47C2311yescharacteristic
241C23×Dic47C2311yescharacteristic
242C23×Dic47C2311yescharacteristic
243C22×C4×D47C2311yescharacteristic
244C22×C4×D47C2311yescharacteristic
245C22×C4×D47C2311yescharacteristic
246C22×C4×D47C2311yescharacteristic
247C22×C4×D47C2311yescharacteristic
248C22×C4×D47C2311yescharacteristic
249C22×C4×D47C2311yescharacteristic
250C22×C4×D47C2311yescharacteristic
251C22×C4×D47C2311yescharacteristic
252C22×C4×D47C2311yescharacteristic
253C22×C4×D47C2311yescharacteristic
254C22×C4×D47C2311yescharacteristic
255C22×C4×D47C2311yescharacteristic
256C22×C4×D47C2311yescharacteristic
257C22×C4×D47C2311yescharacteristic
258#13094021C2318yes—
259#13094020C2318yes—
260#13094019C2318yes—
261#13094019C2318yes—
262#13094019C2318yes—
263#13094019C2318yes—
264#13094019C2318yes—
265#13094019C2318yes—
266#13094019C2318yes—
267#13094018C2318yes—
268#13094018C2318yes—
269#13094018C2318yes—
270#13094017C2318yes—
271#13094017C2318yes—
272#13094016C2318yes—
273#13094016C2318yes—
274#13094016C2318yes—
275#13094015C2318yes—
276#13094015C2318yes—
277#13094015C2318yes—
278#13094015C2318yes—
279#13094015C2318yes—
280#13094014C2318yes—
281#13094014C2318yes—
282#13094014C2318yes—
283#13094014C2318yes—
284#13094014C2318yes—
285#13094014C2318yes—
286#13094014C2318yes—
287#13094014C2318yes—
288#13094014C2318yes—
289#13094014C2318yes—
290#13094013C2318yes—
291#13094010C2318yes—
292#13094010C2318yes—
293#13094009C2318yes—
294#13094009C2318yes—
295#13094009C2318yes—
296#13094009C2318yes—
297#13094009C2318yes—
298#13094009C2318yes—
299#13094009C2318yes—
300#13094009C2318yes—
301#13094009C2318yes—
302#13094009C2318yes—
303#13094009C2318yes—
304#13094009C2318yes—
305#13094009C2318yes—
306#13094009C2318yes—
307#13094009C2318yes—
308#13094009C2318yes—
309#13094008C2318yes—
310#13094008C2318yes—
311#13094008C2318yes—
312#13094007C2318yes—
313#13094007C2318yes—
314#13094007C2318yes—
315#13094006C2318yes—
316#13094006C2318yes—
317#13094006C2318yes—
318#13094006C2318yes—
319#13094006C2318yes—
320#13094006C2318yes—
321#13094004C2318yes—
322#13094004C2318yes—
323#13094004C2318yes—
324#13094003C2318yes—
325#13094002C2318yes—
326#13094002C2318yes—
327#13094002C2318yes—
328#13094002C2318yes—
329#13094002C2318yes—
330#13094001C2318yes—
331#13094000C2318yes—
332#13094000C2318yes—
333#13094000C2318yes—
334#13093999C2318yes—
335#13093999C2318yes—
336#13093999C2318yes—
337#13093999C2318yes—
338#13093999C2318yes—
339#13093999C2318yes—
340#13093998C2318yes—
341#13093998C2318yes—
342#13093998C2318yes—
343#13093998C2318yes—
344#13093998C2318yes—
345#13093998C2318yes—
346#13093997C2318yes—
347#13093997C2318yes—
348#13093997C2318yes—
349#13093997C2318yes—
350#13093997C2318yes—
351#13093997C2318yes—
352#13093997C2318yes—
353#13093997C2318yes—
354#13093997C2318yes—
355#13093997C2318yes—
356#13093997C2318yes—
357#13093997C2318yes—
358#13093996C2318yes—
359#13093996C2318yes—
360#13093995C2318yes—
361C4×Dic94C2318yes—
362#13093989C2318yes—
363C4×D188C2318yes—
364C4×D188C2318yes—
365C4×D188C2318yes—
366C4×D188C2318yes—
367C4×D188C2318yes—
368C4×D188C2318yes—
369#13093986C2318yes—
370#13093986C2318yes—
371#13093986C2318yes—
372#13093986C2318yes—
373C4×C22⋊D47C2318yes—
374C4×C22⋊D47C2318yes—
375C4×C22⋊D47C2318yes—
376C4×C22⋊D47C2318yes—
377C4×C22⋊D47C2318yes—
378(C22⋊D47)⋊C4C2318yes—
379(C22⋊D47)⋊C4C2318yes—
380(C22⋊D47)⋊C4C2318yes—
381(C22⋊D47)⋊C4C2318yes—
382(C22⋊D47)⋊C4C2318yes—
383#13093982C2318yes—
384#13093982C2318yes—
385#13093982C2318yes—
386#13093981C2318yes—
387#13093981C2318yes—
388#13093981C2318yes—
389#13093981C2318yes—
390#13093981C2318yes—
391#13093980C2318yes—
392C2×C4⋊Dic47C2311yescharacteristic
393C2×C4⋊Dic47C2311yescharacteristic
394C2×C4⋊Dic47C2311yescharacteristic
395C2×C4⋊Dic47C2311yescharacteristic
396C2×C4⋊Dic47C2311yescharacteristic
397C2×C4⋊Dic47C2311yescharacteristic
398C2×C4⋊Dic47C2311yescharacteristic
399C2×C4⋊Dic47C2311yescharacteristic
400C2×C4⋊Dic47C2311yescharacteristic
401C2×C4⋊Dic47C2311yescharacteristic
402C2×C4⋊Dic47C2311yescharacteristic
403C2×C4⋊Dic47C2311yescharacteristic
404C2×Dic47⋊C4C2318yes—
405C2×Dic47⋊C4C2311yescharacteristic
406C2×Dic47⋊C4C2311yescharacteristic
407C2×Dic47⋊C4C2311yescharacteristic
408C2×Dic47⋊C4C2311yescharacteristic
409C2×Dic47⋊C4C2311yescharacteristic
410C2×Dic47⋊C4C2311yescharacteristic
411C2×Dic47⋊C4C2311yescharacteristic
412C2×Dic47⋊C4C2311yescharacteristic
413C2×Dic47⋊C4C2311yescharacteristic
414C2×Dic47⋊C4C2311yescharacteristic
415C2×Dic47⋊C4C2311yescharacteristic
416C2×Dic47⋊C4C2311yescharacteristic
417C2×Dic47⋊C4C2311yescharacteristic
418C2×Dic47⋊C4C2311yescharacteristic
419C2×Dic47⋊C4C2311yescharacteristic
420C2×Dic47⋊C4C2311yescharacteristic
421C2×Dic47⋊C4C2311yescharacteristic
422C2×Dic47⋊C4C2311yescharacteristic
423C2×Dic47⋊C4C2311yescharacteristic
424C2×Dic47⋊C4C2311yescharacteristic
425C2×Dic47⋊C4C2311yescharacteristic
426C2×Dic47⋊C4C2311yescharacteristic
427C2×Dic47⋊C4C2311yescharacteristic
428C2×Dic47⋊C4C2311yescharacteristic
429C2×Dic47⋊C4C2311yescharacteristic
430C2×Dic47⋊C4C2311yescharacteristic
431C4⋊C4×D47C2318yes—
432C4⋊C4×D47C2318yes—
433C4⋊C4×D47C2318yes—
434C4⋊C4×D47C2318yes—
435C2×C22⋊Dic47C2311yescharacteristic
436C2×C22⋊Dic47C2311yescharacteristic
437C2×C22⋊Dic47C2311yescharacteristic
438C2×C22⋊Dic47C2311yescharacteristic
439C2×(C2×D47)⋊C4C2311yescharacteristic
440C2×(C2×D47)⋊C4C2311yescharacteristic
441C2×(C2×D47)⋊C4C2311yescharacteristic
442C2×(C2×D47)⋊C4C2311yescharacteristic
443C2×(C2×D47)⋊C4C2311yescharacteristic
444C2×(C2×D47)⋊C4C2311yescharacteristic
445C2×(C2×D47)⋊C4C2311yescharacteristic
446C2×(C2×D47)⋊C4C2311yescharacteristic
447C2×(C2×D47)⋊C4C2311yescharacteristic
448C2×(C2×D47)⋊C4C2311yescharacteristic
449C2×(C2×D47)⋊C4C2311yescharacteristic
450C2×(C2×D47)⋊C4C2311yescharacteristic
451C2×(C2×D47)⋊C4C2311yescharacteristic
452C2×(C2×D47)⋊C4C2311yescharacteristic
453C2×(C2×D47)⋊C4C2311yescharacteristic
454C2×(C2×D47)⋊C4C2311yescharacteristic
455C2×(C2×D47)⋊C4C2311yescharacteristic
456C2×(C2×D47)⋊C4C2311yescharacteristic
457C2×(C2×D47)⋊C4C2311yescharacteristic
458C2×(C2×D47)⋊C4C2311yescharacteristic
459C2×(C2×D47)⋊C4C2311yescharacteristic
460C2×(C2×D47)⋊C4C2311yescharacteristic
461C2×(C2×D47)⋊C4C2311yescharacteristic
462C2×(C2×D47)⋊C4C2311yescharacteristic
463C2×(C2×D47)⋊C4C2311yescharacteristic
464C2×(C2×D47)⋊C4C2311yescharacteristic
465C2×(C2×D47)⋊C4C2311yescharacteristic
466C2×(C2×D47)⋊C4C2311yescharacteristic
467C2×(C2×D47)⋊C4C2311yescharacteristic
468C2×(C2×D47)⋊C4C2311yescharacteristic
469C2×C4×Dic47C2311yescharacteristic
470C2×C4×Dic47C2311yescharacteristic
471C2×C4×Dic47C2311yescharacteristic
472C2×C4×Dic47C2311yescharacteristic
473C2×C4×Dic47C2311yescharacteristic
474C2×C4×Dic47C2311yescharacteristic
475C2×C4×Dic47C2311yescharacteristic
476C2×C4×Dic47C2311yescharacteristic
477C2×C4×Dic47C2311yescharacteristic
478C42×D47C2318yes—
479C22×Q8×C47C2311yescharacteristic
480C22×D4×C47C2311yescharacteristic
481C23×C4×C47C2311yescharacteristic
482C23×C4×C47C2311yescharacteristic
483C23×C4×C47C2311yescharacteristic
484C23×C4×C47C2311yescharacteristic
485#126×C47C2318yes—
486#126×C47C2318yes—
487#125×C47C2318yes—
488#125×C47C2318yes—
489#125×C47C2318yes—
490#123×C47C2318yes—
491#123×C47C2318yes—
492C22⋊Q8×C47C2318yes—
493C22⋊Q8×C47C2318yes—
494C4×Q8×C47C2318yes—
495C4×D4×C47C2318yes—
496#117×C47C2318yes—
497#117×C47C2318yes—
498#117×C47C2318yes—
499C2×C4⋊C4×C47C2311yescharacteristic
500C2×C4⋊C4×C47C2311yescharacteristic
501C2×C4⋊C4×C47C2311yescharacteristic
502C2×C4⋊C4×C47C2311yescharacteristic
503C2×C4⋊C4×C47C2318yes—
504C2×C4⋊C4×C47C2311yescharacteristic
505C2×C4⋊C4×C47C2311yescharacteristic
506C2×C4⋊C4×C47C2311yescharacteristic
507C2×C4⋊C4×C47C2311yescharacteristic
508C2×C4⋊C4×C47C2311yescharacteristic
509C2×C4⋊C4×C47C2311yescharacteristic
510C2×C4⋊C4×C47C2311yescharacteristic
511C2×C4⋊C4×C47C2311yescharacteristic
512C2×C4⋊C4×C47C2311yescharacteristic
513C2×C4⋊C4×C47C2311yescharacteristic
514C2×C4⋊C4×C47C2311yescharacteristic
515C2×C4⋊C4×C47C2311yescharacteristic
516C2×C22⋊C4×C47C2311yescharacteristic
517C2×C22⋊C4×C47C2311yescharacteristic
518C2×C22⋊C4×C47C2311yescharacteristic
519C2×C22⋊C4×C47C2311yescharacteristic
520C2×C22⋊C4×C47C2311yescharacteristic
521C2×C22⋊C4×C47C2311yescharacteristic
522C2×C22⋊C4×C47C2311yescharacteristic
523C2×C22⋊C4×C47C2311yescharacteristic
524C2×C42×C47C2311yescharacteristic
525C2×C42×C47C2311yescharacteristic
526C2×C42×C47C2311yescharacteristic
527C2×C42×C47C2311yescharacteristic
528C2×C42×C47C2311yescharacteristic
529C24×C47C2411yescharacteristic
530C24×C47C2411yescharacteristic
531C23×D47C2411yescharacteristic
532C23×D47C2411yescharacteristic
533C23×D47C2411yescharacteristic
534C23×D47C2411yescharacteristic
535C23×D47C2411yescharacteristic
536C2×Q8×C47—42no—
537C2×Q8×C47C2414yes—
538C2×D4×C47—42no—
539C2×D4×C47C2414yes—
540C22×C4×C47—42no—
541C22×C4×C47—42no—
542C22×C4×C47—42no—
543C22×C4×C47—42no—
544C22×C4×C47C2411yescharacteristic
545C22×C4×C47C2411yescharacteristic
546C22×C4×C47C2411yescharacteristic
547C22×C4×C47C2411yescharacteristic
548C22×C4×C47C2411yescharacteristic
549C22×C4×C47C2411yescharacteristic
550C22×C4×C47C2411yescharacteristic
551C22×C4×C47C2411yescharacteristic
552C22×C4×C47C2411yescharacteristic
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2411yescharacteristic
555C22×C4×C47C2411yescharacteristic
556C22×C4×C47C2411yescharacteristic
557C22×C4×C47C2414yes—
558C22×C4×C47C2414yes—
559C22×C4×C47C2414yes—
560C22×C4×C47C2414yes—
561C2×C22⋊D47—42no—
562C2×C22⋊D47—42no—
563C2×C22⋊D47—42no—
564C2×C22⋊D47—42no—
565C2×C22⋊D47—42no—
566C2×C22⋊D47—42no—
567C2×C22⋊D47—42no—
568C2×C22⋊D47—42no—
569C2×C22⋊D47—42no—
570C2×C22⋊D47—42no—
571C2×C22⋊D47C2414yes—
572C2×C22⋊D47C2414yes—
573C2×C22⋊D47C2414yes—
574C2×C22⋊D47C2414yes—
575C2×C22⋊D47C2414yes—
576C2×C22⋊D47C2414yes—
577C2×C22⋊D47C2414yes—
578C2×C22⋊D47C2414yes—
579C2×C22⋊D47C2414yes—
580C2×C22⋊D47C2414yes—
581C22×Dic47—42no—
582C22×Dic47—42no—
583C22×Dic47C2411yescharacteristic
584C22×Dic47C2411yescharacteristic
585C22×Dic47C2411yescharacteristic
586C22×Dic47C2411yescharacteristic
587C22×Dic47C2411yescharacteristic
588C22×Dic47C2411yescharacteristic
589C22×Dic47C2411yescharacteristic
590C22×Dic47C2411yescharacteristic
591C22×Dic47C2411yescharacteristic
592C22×Dic47C2411yescharacteristic
593C22×Dic47C2411yescharacteristic
594C22×Dic47C2414yes—
595C22×Dic47C2414yes—
596C2×D188—42no—
597C2×D188—42no—
598C2×D188—42no—
599C2×D188—42no—
600C2×D188—42no—
601C2×D188—42no—
602C2×D188—42no—
603C2×D188—42no—
604C2×D188—42no—
605C2×D188—42no—
606C2×D188C2414yes—
607C2×D188C2414yes—
608C2×D188C2414yes—
609C2×D188C2414yes—
610C2×D188C2414yes—
611C2×D188C2414yes—
612C2×D188C2414yes—
613C2×D188C2414yes—
614C2×D188C2414yes—
615C2×D188C2414yes—
616C2×C4×D47—42no—
617C2×C4×D47—42no—
618C2×C4×D47—42no—
619C2×C4×D47—42no—
620C2×C4×D47—42no—
621C2×C4×D47—42no—
622C2×C4×D47—42no—
623C2×C4×D47—42no—
624C2×C4×D47—42no—
625C2×C4×D47—42no—
626C2×C4×D47—42no—
627C2×C4×D47—42no—
628C2×C4×D47—42no—
629C2×C4×D47—42no—
630C2×C4×D47—42no—
631C2×C4×D47C2414yes—
632C2×C4×D47C2414yes—
633C2×C4×D47C2414yes—
634C2×C4×D47C2414yes—
635C2×C4×D47C2414yes—
636C2×C4×D47C2414yes—
637C2×C4×D47C2414yes—
638C2×C4×D47C2414yes—
639C2×C4×D47C2414yes—
640C2×C4×D47C2414yes—
641C2×C4×D47C2414yes—
642C2×C4×D47C2414yes—
643C2×C4×D47C2414yes—
644C2×C4×D47C2414yes—
645C2×C4×D47C2414yes—
646C2×Dic94—42no—
647C2×Dic94—42no—
648C2×Dic94C2414yes—
649C2×Dic94C2414yes—
650C4⋊C4×C47C2414yes—
651C4⋊C4×C47C2414yes—
652C4⋊C4×C47C2414yes—
653C4⋊C4×C47C2414yes—
654C4⋊C4×C47C2414yes—
655C4⋊C4×C47C2414yes—
656C4⋊C4×C47C2414yes—
657C4⋊C4×C47C2414yes—
658C4⋊C4×C47C2414yes—
659C4⋊C4×C47C2414yes—
660C4⋊C4×C47C2414yes—
661C4⋊C4×C47C2414yes—
662C4⋊C4×C47C2414yes—
663C4⋊C4×C47C2414yes—
664C4⋊C4×C47C2414yes—
665C4⋊C4×C47C2414yes—
666C22⋊C4×C47C2414yes—
667C22⋊C4×C47C2414yes—
668C22⋊C4×C47C2414yes—
669C22⋊C4×C47C2414yes—
670C22⋊C4×C47C2414yes—
671C22⋊C4×C47C2414yes—
672C22⋊C4×C47C2414yes—
673C22⋊C4×C47C2414yes—
674C42×C47C2414yes—
675C42×C47C2414yes—
676C42×C47C2414yes—
677C42×C47C2414yes—
678C42×C47C2414yes—
679C22⋊Dic47C2414yes—
680C22⋊Dic47C2414yes—
681C22⋊Dic47C2414yes—
682C22⋊Dic47C2414yes—
683(C2×D47)⋊C4C2414yes—
684(C2×D47)⋊C4C2414yes—
685(C2×D47)⋊C4C2414yes—
686(C2×D47)⋊C4C2414yes—
687(C2×D47)⋊C4C2414yes—
688(C2×D47)⋊C4C2414yes—
689(C2×D47)⋊C4C2414yes—
690(C2×D47)⋊C4C2414yes—
691(C2×D47)⋊C4C2414yes—
692(C2×D47)⋊C4C2414yes—
693(C2×D47)⋊C4C2414yes—
694(C2×D47)⋊C4C2414yes—
695(C2×D47)⋊C4C2414yes—
696(C2×D47)⋊C4C2414yes—
697(C2×D47)⋊C4C2414yes—
698(C2×D47)⋊C4C2414yes—
699(C2×D47)⋊C4C2414yes—
700(C2×D47)⋊C4C2414yes—
701(C2×D47)⋊C4C2414yes—
702(C2×D47)⋊C4C2414yes—
703(C2×D47)⋊C4C2414yes—
704(C2×D47)⋊C4C2414yes—
705(C2×D47)⋊C4C2414yes—
706(C2×D47)⋊C4C2414yes—
707(C2×D47)⋊C4C2414yes—
708(C2×D47)⋊C4C2414yes—
709(C2×D47)⋊C4C2414yes—
710(C2×D47)⋊C4C2414yes—
711(C2×D47)⋊C4C2414yes—
712(C2×D47)⋊C4C2414yes—
713C4⋊Dic47C2414yes—
714C4⋊Dic47C2414yes—
715C4⋊Dic47C2414yes—
716C4⋊Dic47C2414yes—
717C4⋊Dic47C2414yes—
718C4⋊Dic47C2414yes—
719C4⋊Dic47C2414yes—
720C4⋊Dic47C2414yes—
721C4⋊Dic47C2414yes—
722C4⋊Dic47C2414yes—
723C4⋊Dic47C2414yes—
724C4⋊Dic47C2414yes—
725Dic47⋊C4C2414yes—
726Dic47⋊C4C2414yes—
727Dic47⋊C4C2414yes—
728Dic47⋊C4C2414yes—
729Dic47⋊C4C2414yes—
730Dic47⋊C4C2414yes—
731Dic47⋊C4C2414yes—
732Dic47⋊C4C2414yes—
733Dic47⋊C4C2414yes—
734Dic47⋊C4C2414yes—
735Dic47⋊C4C2414yes—
736Dic47⋊C4C2414yes—
737Dic47⋊C4C2414yes—
738Dic47⋊C4C2414yes—
739Dic47⋊C4C2414yes—
740Dic47⋊C4C2414yes—
741Dic47⋊C4C2414yes—
742Dic47⋊C4C2414yes—
743Dic47⋊C4C2414yes—
744Dic47⋊C4C2414yes—
745Dic47⋊C4C2414yes—
746Dic47⋊C4C2414yes—
747Dic47⋊C4C2414yes—
748Dic47⋊C4C2414yes—
749Dic47⋊C4C2414yes—
750Dic47⋊C4C2414yes—
751C4×Dic47C2414yes—
752C4×Dic47C2414yes—
753C4×Dic47C2414yes—
754C4×Dic47C2414yes—
755C4×Dic47C2414yes—
756C4×Dic47C2414yes—
757C4×Dic47C2414yes—
758C4×Dic47C2414yes—
759C4×Dic47C2414yes—
760C23×C47—22no—
761C23×C47—22no—
762C23×C47—22no—
763C23×C47—22no—
764C23×C47—22no—
765C23×C47—22no—
766C23×C47C2512yes—
767C23×C47C2512yes—
768C23×C47C2511yescharacteristic
769C22×D47—22no—
770C22×D47—22no—
771C22×D47—22no—
772C22×D47—22no—
773C22×D47—22no—
774C22×D47—22no—
775C22×D47—22no—
776C22×D47—22no—
777C22×D47—22no—
778C22×D47—22no—
779C22×D47—22no—
780C22×D47—22no—
781C22×D47—22no—
782C22×D47—22no—
783C22×D47—22no—
784C22×D47C2512yes—
785C22×D47C2512yes—
786C22×D47C2512yes—
787C22×D47C2512yes—
788C22×D47C2512yes—
789Q8×C47—44no—
790D4×C47—44no—
791C2×C4×C47—22no—
792C2×C4×C47—22no—
793C2×C4×C47—22no—
794C2×C4×C47—22no—
795C2×C4×C47—22no—
796C2×C4×C47—22no—
797C2×C4×C47—22no—
798C2×C4×C47—22no—
799C2×C4×C47—22no—
800C2×C4×C47—22no—
801C2×C4×C47—22no—
802C2×C4×C47—22no—
803C2×C4×C47—22no—
804C2×C4×C47—44no—
805C2×C4×C47—44no—
806C2×C4×C47—44no—
807C2×C4×C47—44no—
808C2×C4×C47C2512yes—
809C2×C4×C47C2512yes—
810C2×C4×C47C2512yes—
811C2×C4×C47C2512yes—
812C2×C4×C47C2512yes—
813C2×C4×C47C2512yes—
814C2×C4×C47C2512yes—
815C2×C4×C47C2512yes—
816C2×C4×C47C2512yes—
817C2×C4×C47C2512yes—
818C2×C4×C47C2512yes—
819C2×C4×C47C2512yes—
820C2×C4×C47C2512yes—
821C22⋊D47—44no—
822C22⋊D47—44no—
823C22⋊D47—44no—
824C22⋊D47—44no—
825C22⋊D47—44no—
826C22⋊D47—44no—
827C22⋊D47—44no—
828C22⋊D47—44no—
829C22⋊D47—44no—
830C22⋊D47—44no—
831C2×Dic47—22no—
832C2×Dic47—22no—
833C2×Dic47—22no—
834C2×Dic47—22no—
835C2×Dic47—22no—
836C2×Dic47—22no—
837C2×Dic47—22no—
838C2×Dic47—22no—
839C2×Dic47—22no—
840C2×Dic47—22no—
841C2×Dic47—22no—
842C2×Dic47—44no—
843C2×Dic47—44no—
844C2×Dic47C2512yes—
845C2×Dic47C2512yes—
846C2×Dic47C2512yes—
847C2×Dic47C2512yes—
848C2×Dic47C2512yes—
849C2×Dic47C2512yes—
850C2×Dic47C2512yes—
851C2×Dic47C2512yes—
852C2×Dic47C2512yes—
853C2×Dic47C2512yes—
854C2×Dic47C2512yes—
855D188—44no—
856D188—44no—
857D188—44no—
858D188—44no—
859D188—44no—
860D188—44no—
861D188—44no—
862D188—44no—
863D188—44no—
864D188—44no—
865C4×D47—44no—
866C4×D47—44no—
867C4×D47—44no—
868C4×D47—44no—
869C4×D47—44no—
870C4×D47—44no—
871C4×D47—44no—
872C4×D47—44no—
873C4×D47—44no—
874C4×D47—44no—
875C4×D47—44no—
876C4×D47—44no—
877C4×D47—44no—
878C4×D47—44no—
879C4×D47—44no—
880Dic94—44no—
881Dic94—44no—
882C2×#3567—471nomaximal, Sylow
883C22×C47—22no—
884C22×C47—22no—
885C22×C47—22no—
886C22×C47—22no—
887C22×C47—22no—
888C22×C47—22no—
889C22×C47—44no—
890C22×C47—44no—
891C22×C47#58512yes—
892C22×C47#58512yes—
893C22×C47#58512yes—
894C22×C47C2611yescharacteristic
895C2×D47—22no—
896C2×D47—22no—
897C2×D47—22no—
898C2×D47—22no—
899C2×D47—22no—
900C2×D47—22no—
901C2×D47—22no—
902C2×D47—22no—
903C2×D47—22no—
904C2×D47—22no—
905C2×D47—22no—
906C2×D47—22no—
907C2×D47—22no—
908C2×D47—22no—
909C2×D47—22no—
910C2×D47—44no—
911C2×D47—44no—
912C2×D47—44no—
913C2×D47—44no—
914C2×D47—44no—
915C4×C47—22no—
916C4×C47—22no—
917C4×C47—22no—
918C4×C47—22no—
919C4×C47—22no—
920C4×C47—22no—
921C4×C47—22no—
922C4×C47—22no—
923C4×C47—22no—
924C4×C47—22no—
925C4×C47—22no—
926C4×C47—22no—
927C4×C47—22no—
928Dic47—22no—
929Dic47—22no—
930Dic47—22no—
931Dic47—22no—
932Dic47—22no—
933Dic47—22no—
934Dic47—22no—
935Dic47—22no—
936Dic47—22no—
937Dic47—22no—
938Dic47—22no—
939#3567—4732no—
940C2×#564—471no—
941C2×#562—471no—
942C2×#562—471no—
943C2×#562—471no—
944C2×#553—471no—
945C2×#553—471no—
946C2×#553—471no—
947C2×#553—471no—
948C2×#553—471no—
949C2×#553—471no—
950C2×#552—471no—
951C2×#552—471no—
952C2×#552—471no—
953C2×#552—471no—
954C2×#552—471no—
955C2×#552D4711yescharacteristic, complemented
956C2×#540—471no—
957C2×#540—471no—
958C2×#540—471no—
959C2×#540—471no—
960C2×#540—471no—
961C2×#540—471no—
962C2×#539—471no—
963C2×#539—471no—
964C2×#539—471no—
965C2×#539—471no—
966C2×#539—471no—
967C2×#539—471no—
968C2×#529—471no—
969C2×#529—471no—
970C2×#529—471no—
971C2×C47—42no—
972C2×C47—42no—
973C2×C47#356714yescomplemented
974C2×C47C2×#58511yescharacteristic
975C2×C47C2×#58511yescharacteristic
976C2×C47C2×#58511yescharacteristic
977D47—42no—
978D47—42no—
979D47—42no—
980D47—42no—
981D47—42no—
982#564—4716no—
983#562—4716no—
984#562—4716no—
985#562—4716no—
986#553—4716no—
987#553—4716no—
988#553—4716no—
989#553—4716no—
990#553—4716no—
991#553—4716no—
992#552—4716no—
993#552—4716no—
994#552—4716no—
995#552—4716no—
996#552—4716no—
997#552C2×D47116yescomplemented
998#540—4716no—
999#540—4716no—
1000#540—4716no—
1001#540—4716no—
1002#540—4716no—
1003#540—4716no—
1004#539—4716no—
1005#539—4716no—
1006#539—4716no—
1007#539—4716no—
1008#539—4716no—
1009#539—4716no—
1010C2×#127—471no—
1011C2×#127—471no—
1012#529—4716no—
1013#529—4716no—
1014#529—4716no—
1015C2×#126—471no—
1016C2×#126—471no—
1017C2×#126—471no—
1018C2×#126—471no—
1019C2×#126—471no—
1020C2×#126—471no—
1021C2×#126—471no—
1022C2×#126—471no—
1023C2×#126—471no—
1024C2×#126—471no—
1025C2×#126—471no—
1026C2×#126—471no—
1027C2×#126C2×D4711yescharacteristic
1028C2×#126C2×D4711yescharacteristic
1029C2×#125—471no—
1030C2×#125—471no—
1031C2×#125—471no—
1032C2×#125—471no—
1033C2×#125—471no—
1034C2×#125—471no—
1035C2×#125—471no—
1036C2×#125—471no—
1037C2×#125—471no—
1038C2×#125—471no—
1039C2×#125—471no—
1040C2×#125—471no—
1041C2×#125—471no—
1042C2×#125—471no—
1043C2×#125—471no—
1044C2×#125—471no—
1045C2×#125—471no—
1046C2×#125—471no—
1047C2×#125C2×D4711yescharacteristic
1048C2×#125C2×D4711yescharacteristic
1049C2×#125C2×D4711yescharacteristic
1050C2×#124—471no—
1051C2×#124—471no—
1052C2×#124—471no—
1053C2×#123—471no—
1054C2×#123—471no—
1055C2×#123—471no—
1056C2×#123—471no—
1057C2×#123—471no—
1058C2×#123—471no—
1059C2×#123—471no—
1060C2×#123—471no—
1061C2×#123—471no—
1062C2×#123—471no—
1063C2×#123—471no—
1064C2×#123—471no—
1065C2×#123—471no—
1066C2×#123—471no—
1067C2×#123—471no—
1068C2×#123—471no—
1069C2×#123—471no—
1070C2×#123—471no—
1071C2×#123—471no—
1072C2×#123—471no—
1073C2×#123—471no—
1074C2×#123—471no—
1075C2×#123—471no—
1076C2×#123—471no—
1077C2×#123—471no—
1078C2×#123—471no—
1079C2×#123—471no—
1080C2×#123—471no—
1081C2×#123C2×D4711yescharacteristic
1082C2×#123C2×D4711yescharacteristic
1083C2×C22⋊Q8—471no—
1084C2×C22⋊Q8—471no—
1085C2×C22⋊Q8—471no—
1086C2×C22⋊Q8—471no—
1087C2×C22⋊Q8—471no—
1088C2×C22⋊Q8—471no—
1089C2×C22⋊Q8—471no—
1090C2×C22⋊Q8—471no—
1091C2×C22⋊Q8—471no—
1092C2×C22⋊Q8—471no—
1093C2×C22⋊Q8—471no—
1094C2×C22⋊Q8—471no—
1095C2×C22⋊Q8—471no—
1096C2×C22⋊Q8C2×D4711yescharacteristic
1097C2×C22⋊Q8C2×D4711yescharacteristic
1098C2×#121—471no—
1099C2×#121—471no—
1100C2×#121—471no—
1101C2×#121—471no—
1102C2×#121—471no—
1103C2×#121—471no—
1104C2×#121—471no—
1105C2×#121—471no—
1106C2×#121—471no—
1107C2×#121—471no—
1108C2×#121—471no—
1109C2×#121—471no—
1110C2×#121—471no—
1111C2×#121—471no—
1112C2×#121—471no—
1113C2×#121—471no—
1114C2×#121—471no—
1115C2×#121—471no—
1116C2×#121—471no—
1117C2×#121—471no—
1118C2×#121—471no—
1119C2×#121—471no—
1120C2×#121—471no—
1121C2×#121—471no—
1122C2×#121—471no—
1123C2×#121—471no—
1124C2×#121—471no—
1125C2×C4×Q8—471no—
1126C2×C4×Q8—471no—
1127C2×C4×Q8C2×D4711yescharacteristic
1128C2×C4×D4—471no—
1129C2×C4×D4—471no—
1130C2×C4×D4—471no—
1131C2×C4×D4—471no—
1132C2×C4×D4—471no—
1133C2×C4×D4—471no—
1134C2×C4×D4—471no—
1135C2×C4×D4—471no—
1136C2×C4×D4—471no—
1137C2×C4×D4—471no—
1138C2×C4×D4—471no—
1139C2×C4×D4—471no—
1140C2×C4×D4—471no—
1141C2×C4×D4—471no—
1142C2×C4×D4—471no—
1143C2×C4×D4—471no—
1144C2×C4×D4—471no—
1145C2×C4×D4—471no—
1146C2×C4×D4—471no—
1147C2×C4×D4—471no—
1148C2×C4×D4C2×D4711yescharacteristic
1149C2×#117—471no—
1150C2×#117—471no—
1151C2×#117—471no—
1152C2×#117—471no—
1153C2×#117—471no—
1154C2×#117—471no—
1155C2×#117—471no—
1156C2×#117—471no—
1157C2×#117—471no—
1158C2×#117C2×D4711yescharacteristic
1159C2×#117C2×D4711yescharacteristic
1160C2×#117C2×D4711yescharacteristic
1161C22×C4⋊C4—471no—
1162C22×C4⋊C4—471no—
1163C22×C4⋊C4—471no—
1164C22×C4⋊C4—471no—
1165C22×C4⋊C4—471no—
1166C22×C4⋊C4C2×D4711yescharacteristic
1167C22×C42—471no—
1168C47C2×#356711yescharacteristic, complemented, Sylow
1169C22×Q8—471no—
1170C22×Q8—471no—
1171C22×Q8C22×D4711yescharacteristic
1172C22×D4—471no—
1173C22×D4—471no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—471no—
1178C22×D4—471no—
1179C22×D4—471no—
1180C22×D4—471no—
1181C22×D4—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—471no—
1187C22×D4—471no—
1188C22×D4—471no—
1189C22×D4—471no—
1190C22×D4—471no—
1191C22×D4—471no—
1192C22×D4C22×D4711yescharacteristic
1193C23×C4—471no—
1194C23×C4—471no—
1195C23×C4—471no—
1196C23×C4—471no—
1197C23×C4—471no—
1198C23×C4—471no—
1199C23×C4—471no—
1200C23×C4—471no—
1201C23×C4—471no—
1202C23×C4—471no—
1203C23×C4—471no—
1204C23×C4—471no—
1205C23×C4—471no—
1206C23×C4—471no—
1207C23×C4—471no—
1208C23×C4—471no—
1209C23×C4—471no—
1210C23×C4C22×D4711yescharacteristic
1211C23×C4C22×D4711yescharacteristic
1212C23×C4C22×D4711yescharacteristic
1213C23×C4C22×D4711yescharacteristic
1214#127—478no—
1215#127—478no—
1216#126—478no—
1217#126—478no—
1218#126—478no—
1219#126—478no—
1220#126—478no—
1221#126—478no—
1222#126—478no—
1223#126—478no—
1224#126—478no—
1225#126—478no—
1226#126—478no—
1227#126—478no—
1228#126C22×D4718yes—
1229#126C22×D4718yes—
1230#125—478no—
1231#125—478no—
1232#125—478no—
1233#125—478no—
1234#125—478no—
1235#125—478no—
1236#125—478no—
1237#125—478no—
1238#125—478no—
1239#125—478no—
1240#125—478no—
1241#125—478no—
1242#125—478no—
1243#125—478no—
1244#125—478no—
1245#125—478no—
1246#125—478no—
1247#125—478no—
1248#125C22×D4718yes—
1249#125C22×D4718yes—
1250#125C22×D4718yes—
1251#124—478no—
1252#124—478no—
1253#124—478no—
1254#123—478no—
1255#123—478no—
1256#123—478no—
1257#123—478no—
1258#123—478no—
1259#123—478no—
1260#123—478no—
1261#123—478no—
1262#123—478no—
1263#123—478no—
1264#123—478no—
1265#123—478no—
1266#123—478no—
1267#123—478no—
1268#123—478no—
1269#123—478no—
1270#123—478no—
1271#123—478no—
1272#123—478no—
1273#123—478no—
1274#123—478no—
1275#123—478no—
1276#123—478no—
1277#123—478no—
1278#123—478no—
1279#123—478no—
1280#123—478no—
1281#123—478no—
1282#123C22×D4718yes—
1283#123C22×D4718yes—
1284C22⋊Q8—478no—
1285C22⋊Q8—478no—
1286C22⋊Q8—478no—
1287C22⋊Q8—478no—
1288C22⋊Q8—478no—
1289C22⋊Q8—478no—
1290C22⋊Q8—478no—
1291C22⋊Q8—478no—
1292C22⋊Q8—478no—
1293C22⋊Q8—478no—
1294C22⋊Q8—478no—
1295C22⋊Q8—478no—
1296C22⋊Q8—478no—
1297C22⋊Q8C22×D4718yes—
1298C22⋊Q8C22×D4718yes—
1299#121—478no—
1300#121—478no—
1301#121—478no—
1302#121—478no—
1303#121—478no—
1304#121—478no—
1305#121—478no—
1306#121—478no—
1307#121—478no—
1308#121—478no—
1309#121—478no—
1310#121—478no—
1311#121—478no—
1312#121—478no—
1313#121—478no—
1314#121—478no—
1315#121—478no—
1316#121—478no—
1317#121—478no—
1318#121—478no—
1319#121—478no—
1320#121—478no—
1321#121—478no—
1322#121—478no—
1323#121—478no—
1324#121—478no—
1325#121—478no—
1326C4×Q8—478no—
1327C4×Q8—478no—
1328C4×Q8C22×D4718yes—
1329C4×D4—478no—
1330C4×D4—478no—
1331C4×D4—478no—
1332C4×D4—478no—
1333C4×D4—478no—
1334C4×D4—478no—
1335C4×D4—478no—
1336C4×D4—478no—
1337C4×D4—478no—
1338C4×D4—478no—
1339C4×D4—478no—
1340C4×D4—478no—
1341C4×D4—478no—
1342C4×D4—478no—
1343C4×D4—478no—
1344C4×D4—478no—
1345C4×D4—478no—
1346C4×D4—478no—
1347C4×D4—478no—
1348C4×D4—478no—
1349C4×D4C22×D4718yes—
1350#117—478no—
1351#117—478no—
1352#117—478no—
1353#117—478no—
1354#117—478no—
1355#117—478no—
1356#117—478no—
1357#117—478no—
1358#117—478no—
1359#117C22×D4718yes—
1360#117C22×D4718yes—
1361#117C22×D4718yes—
1362C2×C4⋊C4—471no—
1363C2×C4⋊C4—471no—
1364C2×C4⋊C4—471no—
1365C2×C4⋊C4—471no—
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—471no—
1369C2×C4⋊C4—471no—
1370C2×C4⋊C4—471no—
1371C2×C4⋊C4—471no—
1372C2×C4⋊C4—471no—
1373C2×C4⋊C4—471no—
1374C2×C4⋊C4—471no—
1375C2×C4⋊C4—471no—
1376C2×C4⋊C4—471no—
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—478no—
1379C2×C4⋊C4—471no—
1380C2×C4⋊C4—471no—
1381C2×C4⋊C4—471no—
1382C2×C4⋊C4—471no—
1383C2×C4⋊C4—471no—
1384C2×C4⋊C4—471no—
1385C2×C4⋊C4—471no—
1386C2×C4⋊C4—471no—
1387C2×C4⋊C4—471no—
1388C2×C4⋊C4—471no—
1389C2×C4⋊C4—471no—
1390C2×C4⋊C4—471no—
1391C2×C4⋊C4—471no—
1392C2×C4⋊C4—471no—
1393C2×C4⋊C4—471no—
1394C2×C4⋊C4—471no—
1395C2×C4⋊C4—471no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—471no—
1400C2×C4⋊C4—471no—
1401C2×C4⋊C4—478no—
1402C2×C4⋊C4—478no—
1403C2×C4⋊C4—478no—
1404C2×C4⋊C4—478no—
1405C2×C4⋊C4C22×D4711yescharacteristic
1406C2×C4⋊C4C22×D4711yescharacteristic
1407C2×C4⋊C4C22×D4711yescharacteristic
1408C2×C4⋊C4C22×D4711yescharacteristic
1409C2×C4⋊C4C22×D4711yescharacteristic
1410C2×C4⋊C4C22×D4711yescharacteristic
1411C2×C4⋊C4C22×D4711yescharacteristic
1412C2×C4⋊C4C22×D4711yescharacteristic
1413C2×C4⋊C4C22×D4718yes—
1414C2×C4⋊C4C22×D4711yescharacteristic
1415C2×C4⋊C4C22×D4711yescharacteristic
1416C2×C4⋊C4C22×D4711yescharacteristic
1417C2×C4⋊C4C22×D4711yescharacteristic
1418C2×C4⋊C4C22×D4711yescharacteristic
1419C2×C4⋊C4C22×D4711yescharacteristic
1420C2×C4⋊C4C22×D4711yescharacteristic
1421C2×C4⋊C4C22×D4711yescharacteristic
1422C2×C22⋊C4—471no—
1423C2×C22⋊C4—471no—
1424C2×C22⋊C4—471no—
1425C2×C22⋊C4—471no—
1426C2×C22⋊C4—471no—
1427C2×C22⋊C4—471no—
1428C2×C22⋊C4—471no—
1429C2×C22⋊C4—471no—
1430C2×C22⋊C4—471no—
1431C2×C22⋊C4—471no—
1432C2×C22⋊C4—471no—
1433C2×C22⋊C4—471no—
1434C2×C22⋊C4—471no—
1435C2×C22⋊C4—471no—
1436C2×C22⋊C4—471no—
1437C2×C22⋊C4—471no—
1438C2×C22⋊C4—471no—
1439C2×C22⋊C4—471no—
1440C2×C22⋊C4—471no—
1441C2×C22⋊C4—471no—
1442C2×C22⋊C4—471no—
1443C2×C22⋊C4—471no—
1444C2×C22⋊C4—471no—
1445C2×C22⋊C4—471no—
1446C2×C22⋊C4—471no—
1447C2×C22⋊C4—471no—
1448C2×C22⋊C4—471no—
1449C2×C22⋊C4—471no—
1450C2×C22⋊C4—471no—
1451C2×C22⋊C4—471no—
1452C2×C22⋊C4—471no—
1453C2×C22⋊C4—471no—
1454C2×C22⋊C4—471no—
1455C2×C22⋊C4—471no—
1456C2×C22⋊C4C22×D4711yescharacteristic
1457C2×C22⋊C4C22×D4711yescharacteristic
1458C2×C22⋊C4C22×D4711yescharacteristic
1459C2×C22⋊C4C22×D4711yescharacteristic
1460C2×C22⋊C4C22×D4711yescharacteristic
1461C2×C22⋊C4C22×D4711yescharacteristic
1462C2×C22⋊C4C22×D4711yescharacteristic
1463C2×C22⋊C4C22×D4711yescharacteristic
1464C2×C42—471no—
1465C2×C42—471no—
1466C2×C42—471no—
1467C2×C42—471no—
1468C2×C42—471no—
1469C2×C42—471no—
1470C2×C42—471no—
1471C2×C42—471no—
1472C2×C42—471no—
1473C2×C42—478no—
1474C2×C42C22×D4711yescharacteristic
1475C2×C42C22×D4711yescharacteristic
1476C2×C42C22×D4711yescharacteristic
1477C2×C42C22×D4711yescharacteristic
1478C2×C42C22×D4711yescharacteristic
1479C24—471no—
1480C24—471no—
1481C24—471no—
1482C24—471no—
1483C24—471no—
1484C24C23×D4711yescharacteristic
1485C24C23×D4711yescharacteristic
1486C2×Q8—42no—
1487C2×Q8—474no—
1488C2×Q8—474no—
1489C2×Q8—1882no—
1490C2×Q8—1882no—
1491C2×Q8C23×D4714yes—
1492C2×D4—42no—
1493C2×D4—474no—
1494C2×D4—474no—
1495C2×D4—474no—
1496C2×D4—474no—
1497C2×D4—474no—
1498C2×D4—474no—
1499C2×D4—474no—
1500C2×D4—474no—
1501C2×D4—474no—
1502C2×D4—474no—
1503C2×D4—474no—
1504C2×D4—474no—
1505C2×D4—474no—
1506C2×D4—474no—
1507C2×D4—474no—
1508C2×D4—474no—
1509C2×D4—474no—
1510C2×D4—474no—
1511C2×D4—474no—
1512C2×D4—474no—
1513C2×D4—1882no—
1514C2×D4—1882no—
1515C2×D4—1882no—
1516C2×D4—1882no—
1517C2×D4—1882no—
1518C2×D4—1882no—
1519C2×D4—1882no—
1520C2×D4—1882no—
1521C2×D4—1882no—
1522C2×D4—1882no—
1523C2×D4—1882no—
1524C2×D4—1882no—
1525C2×D4—1882no—
1526C2×D4—1882no—
1527C2×D4—1882no—
1528C2×D4—1882no—
1529C2×D4—1882no—
1530C2×D4—1882no—
1531C2×D4—1882no—
1532C2×D4—1882no—
1533C2×D4C23×D4714yes—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—471no—
1541C22×C4—471no—
1542C22×C4—471no—
1543C22×C4—471no—
1544C22×C4—471no—
1545C22×C4—471no—
1546C22×C4—471no—
1547C22×C4—471no—
1548C22×C4—471no—
1549C22×C4—474no—
1550C22×C4—474no—
1551C22×C4—474no—
1552C22×C4—474no—
1553C22×C4—474no—
1554C22×C4—474no—
1555C22×C4—474no—
1556C22×C4—474no—
1557C22×C4—474no—
1558C22×C4—474no—
1559C22×C4—474no—
1560C22×C4—474no—
1561C22×C4—474no—
1562C22×C4—474no—
1563C22×C4—474no—
1564C22×C4—474no—
1565C22×C4—474no—
1566C22×C4—1882no—
1567C22×C4—1882no—
1568C22×C4—1882no—
1569C22×C4—1882no—
1570C22×C4—1882no—
1571C22×C4—1882no—
1572C22×C4—1882no—
1573C22×C4—1882no—
1574C22×C4—1882no—
1575C22×C4—1882no—
1576C22×C4—1882no—
1577C22×C4—1882no—
1578C22×C4—1882no—
1579C22×C4—1882no—
1580C22×C4—1882no—
1581C22×C4—1882no—
1582C22×C4—1882no—
1583C22×C4C23×D4711yescharacteristic
1584C22×C4C23×D4711yescharacteristic
1585C22×C4C23×D4711yescharacteristic
1586C22×C4C23×D4711yescharacteristic
1587C22×C4C23×D4711yescharacteristic
1588C22×C4C23×D4711yescharacteristic
1589C22×C4C23×D4711yescharacteristic
1590C22×C4C23×D4711yescharacteristic
1591C22×C4C23×D4711yescharacteristic
1592C22×C4C23×D4711yescharacteristic
1593C22×C4C23×D4711yescharacteristic
1594C22×C4C23×D4711yescharacteristic
1595C22×C4C23×D4711yescharacteristic
1596C22×C4C23×D4714yes—
1597C22×C4C23×D4714yes—
1598C22×C4C23×D4714yes—
1599C22×C4C23×D4714yes—
1600C4⋊C4—474no—
1601C4⋊C4—474no—
1602C4⋊C4—474no—
1603C4⋊C4—474no—
1604C4⋊C4—474no—
1605C4⋊C4—474no—
1606C4⋊C4—474no—
1607C4⋊C4—474no—
1608C4⋊C4—474no—
1609C4⋊C4—474no—
1610C4⋊C4—474no—
1611C4⋊C4—474no—
1612C4⋊C4—474no—
1613C4⋊C4—474no—
1614C4⋊C4—474no—
1615C4⋊C4—474no—
1616C4⋊C4—474no—
1617C4⋊C4—474no—
1618C4⋊C4—474no—
1619C4⋊C4—474no—
1620C4⋊C4—474no—
1621C4⋊C4—474no—
1622C4⋊C4—474no—
1623C4⋊C4—474no—
1624C4⋊C4—474no—
1625C4⋊C4—474no—
1626C4⋊C4—474no—
1627C4⋊C4—474no—
1628C4⋊C4—474no—
1629C4⋊C4—474no—
1630C4⋊C4—474no—
1631C4⋊C4—474no—
1632C4⋊C4—474no—
1633C4⋊C4—474no—
1634C4⋊C4—474no—
1635C4⋊C4—474no—
1636C4⋊C4—474no—
1637C4⋊C4—474no—
1638C4⋊C4C23×D4714yes—
1639C4⋊C4C23×D4714yes—
1640C4⋊C4C23×D4714yes—
1641C4⋊C4C23×D4714yes—
1642C4⋊C4C23×D4714yes—
1643C4⋊C4C23×D4714yes—
1644C4⋊C4C23×D4714yes—
1645C4⋊C4C23×D4714yes—
1646C4⋊C4C23×D4714yes—
1647C4⋊C4C23×D4714yes—
1648C4⋊C4C23×D4714yes—
1649C4⋊C4C23×D4714yes—
1650C4⋊C4C23×D4714yes—
1651C4⋊C4C23×D4714yes—
1652C4⋊C4C23×D4714yes—
1653C4⋊C4C23×D4714yes—
1654C22⋊C4—474no—
1655C22⋊C4—474no—
1656C22⋊C4—474no—
1657C22⋊C4—474no—
1658C22⋊C4—474no—
1659C22⋊C4—474no—
1660C22⋊C4—474no—
1661C22⋊C4—474no—
1662C22⋊C4—474no—
1663C22⋊C4—474no—
1664C22⋊C4—474no—
1665C22⋊C4—474no—
1666C22⋊C4—474no—
1667C22⋊C4—474no—
1668C22⋊C4—474no—
1669C22⋊C4—474no—
1670C22⋊C4—474no—
1671C22⋊C4—474no—
1672C22⋊C4—474no—
1673C22⋊C4—474no—
1674C22⋊C4—474no—
1675C22⋊C4—474no—
1676C22⋊C4—474no—
1677C22⋊C4—474no—
1678C22⋊C4—474no—
1679C22⋊C4—474no—
1680C22⋊C4—474no—
1681C22⋊C4—474no—
1682C22⋊C4—474no—
1683C22⋊C4—474no—
1684C22⋊C4—474no—
1685C22⋊C4—474no—
1686C22⋊C4—474no—
1687C22⋊C4—474no—
1688C22⋊C4C23×D4714yes—
1689C22⋊C4C23×D4714yes—
1690C22⋊C4C23×D4714yes—
1691C22⋊C4C23×D4714yes—
1692C22⋊C4C23×D4714yes—
1693C22⋊C4C23×D4714yes—
1694C22⋊C4C23×D4714yes—
1695C22⋊C4C23×D4714yes—
1696C42—474no—
1697C42—474no—
1698C42—474no—
1699C42—474no—
1700C42—474no—
1701C42—474no—
1702C42—474no—
1703C42—474no—
1704C42—474no—
1705C42C23×D4714yes—
1706C42C23×D4714yes—
1707C42C23×D4714yes—
1708C42C23×D4714yes—
1709C42C23×D4714yes—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—472no—
1717C23—472no—
1718C23—472no—
1719C23—472no—
1720C23—472no—
1721C23—942no—
1722C23—942no—
1723C23—942no—
1724C23—942no—
1725C23—942no—
1726C23—942no—
1727C23—942no—
1728C23—942no—
1729C23—942no—
1730C23—942no—
1731C23—942no—
1732C23—942no—
1733C23—942no—
1734C23—942no—
1735C23—942no—
1736C23C24×D4712yes—
1737C23C24×D4712yes—
1738C23C24×D4711yescharacteristic
1739Q8—44no—
1740Q8—1884no—
1741Q8—1884no—
1742D4—44no—
1743D4—1884no—
1744D4—1884no—
1745D4—1884no—
1746D4—1884no—
1747D4—1884no—
1748D4—1884no—
1749D4—1884no—
1750D4—1884no—
1751D4—1884no—
1752D4—1884no—
1753D4—1884no—
1754D4—1884no—
1755D4—1884no—
1756D4—1884no—
1757D4—1884no—
1758D4—1884no—
1759D4—1884no—
1760D4—1884no—
1761D4—1884no—
1762D4—1884no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—472no—
1781C2×C4—472no—
1782C2×C4—472no—
1783C2×C4—472no—
1784C2×C4—472no—
1785C2×C4—472no—
1786C2×C4—472no—
1787C2×C4—472no—
1788C2×C4—472no—
1789C2×C4—472no—
1790C2×C4—472no—
1791C2×C4—942no—
1792C2×C4—942no—
1793C2×C4—942no—
1794C2×C4—942no—
1795C2×C4—942no—
1796C2×C4—942no—
1797C2×C4—942no—
1798C2×C4—942no—
1799C2×C4—942no—
1800C2×C4—942no—
1801C2×C4—942no—
1802C2×C4—1884no—
1803C2×C4—1884no—
1804C2×C4—1884no—
1805C2×C4—1884no—
1806C2×C4—1884no—
1807C2×C4—1884no—
1808C2×C4—1884no—
1809C2×C4—1884no—
1810C2×C4—1884no—
1811C2×C4—1884no—
1812C2×C4—1884no—
1813C2×C4—1884no—
1814C2×C4—1884no—
1815C2×C4—1884no—
1816C2×C4—1884no—
1817C2×C4—1884no—
1818C2×C4—1884no—
1819C2×C4C24×D4712yes—
1820C2×C4C24×D4712yes—
1821C2×C4C24×D4712yes—
1822C2×C4C24×D4712yes—
1823C2×C4C24×D4712yes—
1824C2×C4C24×D4712yes—
1825C2×C4C24×D4712yes—
1826C2×C4C24×D4712yes—
1827C2×C4C24×D4712yes—
1828C2×C4C24×D4712yes—
1829C2×C4C24×D4712yes—
1830C2×C4C24×D4712yes—
1831C2×C4C24×D4712yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—44no—
1839C22—44no—
1840C22—942no—
1841C22—942no—
1842C22—942no—
1843C22—942no—
1844C22—942no—
1845C22—942no—
1846C22—942no—
1847C22—942no—
1848C22—942no—
1849C22—942no—
1850C22—942no—
1851C22—942no—
1852C22—942no—
1853C22—942no—
1854C22—942no—
1855C22—1884no—
1856C22—1884no—
1857C22—1884no—
1858C22—1884no—
1859C22—1884no—
1860C22#1568995912yes—
1861C22#1568995912yes—
1862C22#1568996012yes—
1863C22C25×D4711yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—942no—
1878C4—942no—
1879C4—942no—
1880C4—942no—
1881C4—942no—
1882C4—942no—
1883C4—942no—
1884C4—942no—
1885C4—942no—
1886C4—942no—
1887C4—942no—
1888C2—42no—
1889C2—42no—
1890C2—1882no—
1891C2—1882no—
1892C2—1882no—
1893C2—1882no—
1894C2—1882no—
1895C2#2025807714yesdirect product factor
1896C2C2×#1568995911yescharacteristic
1897C2C2×#1568995911yescharacteristic
1898C2C2×#1568996011yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#552C2
socleC23×C47C25
hypercenterC2×#552D47
hypocenterC47C2×#3567
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#552

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20258077C2direct (N × H)
2. C2×C47⋊#564C2semidirect
3. C2×#15689870C2semidirect
4. C2×#15689869C2semidirect
5. C2×#15689869C2semidirect
6. C2×#15689824C2semidirect
7. C2×#15689824C2semidirect
8. C2×#15689822C2semidirect
9. C2×#15689821C2semidirect
10. C2×#15689818C2semidirect
11. C2×#15689817C2semidirect
12. C2×#15689814C2semidirect
13. C2×#15689812C2semidirect
14. C2×#15689811C2semidirect
15. C2×#15689806C2semidirect
16. C2×#15689805C2semidirect
17. C2×#15689729C2semidirect
18. C2×#15689728C2semidirect
19. C2×#15689728C2semidirect
20. C2×#15689725C2semidirect
21. C2×#15689725C2semidirect
22. C2×#15689724C2semidirect
23. C2×#15689722C2semidirect
24. C2×#15689721C2semidirect
25. C2×#15689721C2semidirect
26. C2×#15689720C2semidirect
27. C2×#15689719C2semidirect
28. C2×#15689714C2semidirect
29. C2×#15689660C2semidirect
30. C2×#15689656C2semidirect
31. C2×#15689651C2semidirect
32. C2×C47×#552C2semidirect
33. C47⋊#564C22semidirect
34. #15689870C22semidirect
35. #15689869C22semidirect
36. #15689869C22semidirect
37. #15689824C22semidirect
38. #15689824C22semidirect
39. #15689822C22semidirect
40. #15689821C22semidirect
41. #15689818C22semidirect
42. #15689817C22semidirect
43. #15689814C22semidirect
44. #15689812C22semidirect
45. #15689811C22semidirect
46. #15689806C22semidirect
47. #15689805C22semidirect
48. #15689729C22semidirect
49. #15689728C22semidirect
50. #15689728C22semidirect
51. #15689725C22semidirect
52. #15689725C22semidirect
53. #15689724C22semidirect
54. #15689722C22semidirect
55. #15689721C22semidirect
56. #15689721C22semidirect
57. #15689720C22semidirect
58. #15689719C22semidirect
59. #15689714C22semidirect
62. #15689660C22semidirect
63. #15689656C22semidirect
64. #15689651C22semidirect
203. C47×#552C22semidirect
955. C2×#552D47semidirect
973. C2×C47#3567semidirect
997. #552C2×D47semidirect
1168. C47C2×#3567semidirect
1895. C2#20258077direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202580772
C2×C47⋊#5642
C2×#156898702
C2×#156898692
C2×#156898242
C2×#156898222
C2×#156898212
C2×#156898182
C2×#156898172
C2×#156898142
C2×#156898122
C2×#156898112
C2×#156898062
C2×#156898052
C2×#156897292
C2×#156897282
C2×#156897252
C2×#156897242
C2×#156897222
C2×#156897212
C2×#156897202
C2×#156897192
C2×#156897142
C2×#156896602
C2×#156896562
C2×#156896512
C2×C47×#5522
C2×#356747